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Finding the Fourth Proportional to 200.40, 298.53 and 195.60

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Solution

The fourth proportional to 200.40, 298.53 and 195.60 is: 291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.40 : 298.53 = 195.60 : x
  2. Step 2: Convert to fraction form
    200.40/298.53 = 195.60/x
  3. Step 3: Cross multiply
    200.40x = 298.53 × 195.60
  4. Step 4: Simplify right side
    200.40x = 58,392.47
  5. Step 5: Solve for x
    x = 58,392.47/200.40
  6. Step 6: Final answer
    x = 291.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.